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Finding the Third Proportional to 77,344.50 and 168,891

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Solution

The third proportional to 77,344.50 and 168,891 is: 368,793.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,344.50 : 168,891 = 168,891 : x
  2. Step 2: Convert to fraction form
    77,344.50/168,891 = 168,891/x
  3. Step 3: Cross multiply
    77,344.50x = 168,891 × 168,891
  4. Step 4: Simplify right side
    77,344.50x = 28,524,169,881
  5. Step 5: Solve for x
    x = 28,524,169,881/77,344.50
  6. Step 6: Final answer
    x = 368,793.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.